1. We start with the given expression: $$\frac{1}{\sin\theta} - \frac{\sin^2\theta}{\sin\theta}$$\n\n2. Since both terms have the same denominator $\sin\theta$, combine them under the single denominator:\n$$\frac{1 - \sin^2\theta}{\sin\theta}$$\n\n3. Recall the Pythagorean identity: $$1 - \sin^2\theta = \cos^2\theta$$\nReplacing, we get:\n$$\frac{\cos^2\theta}{\sin\theta}$$\n\n4. We can rewrite this as \(\cos\theta \cdot \frac{\cos\theta}{\sin\theta} = \cos\theta \cot\theta\).\n\n5. Therefore, the simplified expression is:\n$$\boxed{\cos\theta \cot\theta}$$